2.2 THE DERIVATIVEspaces.isu.edu.tw/upload/19225/0/news/postfile_309.pdf · Find the derivative of f(x) = 3x3 — I at an unspecified value of x. Then, evaluate the derivative at

Page 1 <img data-url='document/22-the-find-the-derivative-of-fx-3x3-a-i-at-an-unspecified-value-of-x-then.html?page=1' data-page='1' class='cut-thumb lazyload' alt='Page 1: 2.2 THE DERIVATIVEspaces.isu.edu.tw/upload/19225/0/news/postfile_309.pdf · Find the derivative of f(x) = 3x3 — I at an unspecified value of x. Then, evaluate the derivative at' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader033.cupdf.com/reader033/viewer/2022060803/6086e46a04669e61e55908d2/html5/thumbnails/1.jpg' width='140' height='200' /> P.160

P.161

2.2 THE DERIVATIVE

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Page 2 <img data-url='document/22-the-find-the-derivative-of-fx-3x3-a-i-at-an-unspecified-value-of-x-then.html?page=2' data-page='2' class='cut-thumb lazyload' alt='Page 2: 2.2 THE DERIVATIVEspaces.isu.edu.tw/upload/19225/0/news/postfile_309.pdf · Find the derivative of f(x) = 3x3 — I at an unspecified value of x. Then, evaluate the derivative at' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader033.cupdf.com/reader033/viewer/2022060803/6086e46a04669e61e55908d2/html5/thumbnails/2.jpg' width='140' height='200' /> P.162

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Page 3 <img data-url='document/22-the-find-the-derivative-of-fx-3x3-a-i-at-an-unspecified-value-of-x-then.html?page=3' data-page='3' class='cut-thumb lazyload' alt='Page 3: 2.2 THE DERIVATIVEspaces.isu.edu.tw/upload/19225/0/news/postfile_309.pdf · Find the derivative of f(x) = 3x3 — I at an unspecified value of x. Then, evaluate the derivative at' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader033.cupdf.com/reader033/viewer/2022060803/6086e46a04669e61e55908d2/html5/thumbnails/3.jpg' width='140' height='200' /> The value of a derivative at a point is the slope of the tangent line at

that point.

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Page 4 <img data-url='document/22-the-find-the-derivative-of-fx-3x3-a-i-at-an-unspecified-value-of-x-then.html?page=4' data-page='4' class='cut-thumb lazyload' alt='Page 4: 2.2 THE DERIVATIVEspaces.isu.edu.tw/upload/19225/0/news/postfile_309.pdf · Find the derivative of f(x) = 3x3 — I at an unspecified value of x. Then, evaluate the derivative at' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader033.cupdf.com/reader033/viewer/2022060803/6086e46a04669e61e55908d2/html5/thumbnails/4.jpg' width='140' height='200' /> P.164

Alternative Derivative NotationsP.165

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Page 5 <img data-url='document/22-the-find-the-derivative-of-fx-3x3-a-i-at-an-unspecified-value-of-x-then.html?page=5' data-page='5' class='cut-thumb lazyload' alt='Page 5: 2.2 THE DERIVATIVEspaces.isu.edu.tw/upload/19225/0/news/postfile_309.pdf · Find the derivative of f(x) = 3x3 — I at an unspecified value of x. Then, evaluate the derivative at' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader033.cupdf.com/reader033/viewer/2022060803/6086e46a04669e61e55908d2/html5/thumbnails/5.jpg' width='140' height='200' /> If a function is not continuous at a point then it cannot have a derivative